Question

Explain why the equation 5|x|-7=7 has only one solution.

Answer 1

According to the condition, this equation has two solutions: -14/5 and 14/5.

Short explanation:

5|x|=14; ⇔ |x|=14/5; ⇒

`\left[\begin{array}{ccc}x= -(14)/(5) \\x= (14)/(5) \\\end{array}`

PS. it's correct, if to substitute the values of 'x' into the condition/equation.